Atkin-Lehner |
2+ 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150bb |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.2789771214475E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-84804192,-291661431534] |
[a1,a2,a3,a4,a6] |
j |
5921450764096952391481/200074809015963750 |
j-invariant |
L |
0.79765501711542 |
L(r)(E,1)/r! |
Ω |
0.049853439283027 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28050dl4 16830ca3 |
Quadratic twists by: -3 5 |